/* ---------------------------------------------------------------------- * Copyright (C) 2010 ARM Limited. All rights reserved. * * $Date: 29. November 2010 * $Revision: V1.0.3 * * Project: CMSIS DSP Library * Title: arm_fir_decimate_f32.c * * Description: FIR decimation for floating-point sequences. * * Target Processor: Cortex-M4/Cortex-M3 * * Version 1.0.3 2010/11/29 * Re-organized the CMSIS folders and updated documentation. * * Version 1.0.2 2010/11/11 * Documentation updated. * * Version 1.0.1 2010/10/05 * Production release and review comments incorporated. * * Version 1.0.0 2010/09/20 * Production release and review comments incorporated * * Version 0.0.7 2010/06/10 * Misra-C changes done * * -------------------------------------------------------------------- */ #include "arm_math.h" /** * @ingroup groupFilters */ /** * @defgroup FIR_decimate Finite Impulse Response (FIR) Decimator * * These functions combine an FIR filter together with a decimator. * They are used in multirate systems for reducing the sample rate of a signal without introducing aliasing distortion. * Conceptually, the functions are equivalent to the block diagram below: * \image html FIRDecimator.gif "Components included in the FIR Decimator functions" * When decimating by a factor of M, the signal should be prefiltered by a lowpass filter with a normalized * cutoff frequency of 1/M in order to prevent aliasing distortion. * The user of the function is responsible for providing the filter coefficients. * * The FIR decimator functions provided in the CMSIS DSP Library combine the FIR filter and the decimator in an efficient manner. * Instead of calculating all of the FIR filter outputs and discarding M-1 out of every M, only the * samples output by the decimator are computed. * The functions operate on blocks of input and output data. * pSrc points to an array of blockSize input values and * pDst points to an array of blockSize/M output values. * In order to have an integer number of output samples blockSize * must always be a multiple of the decimation factor M. * * The library provides separate functions for Q15, Q31 and floating-point data types. * * \par Algorithm: * The FIR portion of the algorithm uses the standard form filter: *
  
 *    y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]  
 * 
* where, b[n] are the filter coefficients. * \par * The pCoeffs points to a coefficient array of size numTaps. * Coefficients are stored in time reversed order. * \par *
  
 *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}  
 * 
* \par * pState points to a state array of size numTaps + blockSize - 1. * Samples in the state buffer are stored in the order: * \par *
  
 *    {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}  
 * 
* The state variables are updated after each block of data is processed, the coefficients are untouched. * * \par Instance Structure * The coefficients and state variables for a filter are stored together in an instance data structure. * A separate instance structure must be defined for each filter. * Coefficient arrays may be shared among several instances while state variable array should be allocated separately. * There are separate instance structure declarations for each of the 3 supported data types. * * \par Initialization Functions * There is also an associated initialization function for each data type. * The initialization function performs the following operations: * - Sets the values of the internal structure fields. * - Zeros out the values in the state buffer. * - Checks to make sure that the size of the input is a multiple of the decimation factor. * * \par * Use of the initialization function is optional. * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. * To place an instance structure into a const data section, the instance structure must be manually initialized. * The code below statically initializes each of the 3 different data type filter instance structures *
  
 *arm_fir_decimate_instance_f32 S = {M, numTaps, pCoeffs, pState};  
 *arm_fir_decimate_instance_q31 S = {M, numTaps, pCoeffs, pState};  
 *arm_fir_decimate_instance_q15 S = {M, numTaps, pCoeffs, pState};  
 * 
* where M is the decimation factor; numTaps is the number of filter coefficients in the filter; * pCoeffs is the address of the coefficient buffer; * pState is the address of the state buffer. * Be sure to set the values in the state buffer to zeros when doing static initialization. * * \par Fixed-Point Behavior * Care must be taken when using the fixed-point versions of the FIR decimate filter functions. * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. * Refer to the function specific documentation below for usage guidelines. */ /** * @addtogroup FIR_decimate * @{ */ /** * @brief Processing function for the floating-point FIR decimator. * @param[in] *S points to an instance of the floating-point FIR decimator structure. * @param[in] *pSrc points to the block of input data. * @param[out] *pDst points to the block of output data. * @param[in] blockSize number of input samples to process per call. * @return none. */ void arm_fir_decimate_f32( const arm_fir_decimate_instance_f32 * S, float32_t * pSrc, float32_t * pDst, uint32_t blockSize) { float32_t *pState = S->pState; /* State pointer */ float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ float32_t *pStateCurnt; /* Points to the current sample of the state */ float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ float32_t sum0; /* Accumulator */ float32_t x0, c0; /* Temporary variables to hold state and coefficient values */ uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */ /* S->pState buffer contains previous frame (numTaps - 1) samples */ /* pStateCurnt points to the location where the new input data should be written */ pStateCurnt = S->pState + (numTaps - 1u); /* Total number of output samples to be computed */ blkCnt = outBlockSize; while(blkCnt > 0u) { /* Copy decimation factor number of new input samples into the state buffer */ i = S->M; do { *pStateCurnt++ = *pSrc++; } while(--i); /* Set accumulator to zero */ sum0 = 0.0f; /* Initialize state pointer */ px = pState; /* Initialize coeff pointer */ pb = pCoeffs; /* Loop unrolling. Process 4 taps at a time. */ tapCnt = numTaps >> 2; /* Loop over the number of taps. Unroll by a factor of 4. ** Repeat until we've computed numTaps-4 coefficients. */ while(tapCnt > 0u) { /* Read the b[numTaps-1] coefficient */ c0 = *(pb++); /* Read x[n-numTaps-1] sample */ x0 = *(px++); /* Perform the multiply-accumulate */ sum0 += x0 * c0; /* Read the b[numTaps-2] coefficient */ c0 = *(pb++); /* Read x[n-numTaps-2] sample */ x0 = *(px++); /* Perform the multiply-accumulate */ sum0 += x0 * c0; /* Read the b[numTaps-3] coefficient */ c0 = *(pb++); /* Read x[n-numTaps-3] sample */ x0 = *(px++); /* Perform the multiply-accumulate */ sum0 += x0 * c0; /* Read the b[numTaps-4] coefficient */ c0 = *(pb++); /* Read x[n-numTaps-4] sample */ x0 = *(px++); /* Perform the multiply-accumulate */ sum0 += x0 * c0; /* Decrement the loop counter */ tapCnt--; } /* If the filter length is not a multiple of 4, compute the remaining filter taps */ tapCnt = numTaps % 0x4u; while(tapCnt > 0u) { /* Read coefficients */ c0 = *(pb++); /* Fetch 1 state variable */ x0 = *(px++); /* Perform the multiply-accumulate */ sum0 += x0 * c0; /* Decrement the loop counter */ tapCnt--; } /* Advance the state pointer by the decimation factor * to process the next group of decimation factor number samples */ pState = pState + S->M; /* The result is in the accumulator, store in the destination buffer. */ *pDst++ = sum0; /* Decrement the loop counter */ blkCnt--; } /* Processing is complete. ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. ** This prepares the state buffer for the next function call. */ /* Points to the start of the state buffer */ pStateCurnt = S->pState; i = (numTaps - 1u) >> 2; /* copy data */ while(i > 0u) { *pStateCurnt++ = *pState++; *pStateCurnt++ = *pState++; *pStateCurnt++ = *pState++; *pStateCurnt++ = *pState++; /* Decrement the loop counter */ i--; } i = (numTaps - 1u) % 0x04u; /* copy data */ while(i > 0u) { *pStateCurnt++ = *pState++; /* Decrement the loop counter */ i--; } } /** * @} end of FIR_decimate group */